7238 divided by 25 
We want to figure out the number of times 7238 can be divided by 25.

Let's proceed to step 1:
25 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 25

Moving on to step 2:
25 goes into 72 2 times with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 50 from 72 to get 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 25

Moving on to step 3:
If we divide 223 by 25, we get 8 and a remainder of 23.
Put 8 as the next digit of the answer. 
Result so far: 28.0
If we subtract 200 from 223, we get 23.
Bring next digit (8) of the dividend behind the 23 and repeat the process: 238 / 25

Let's proceed to step 4:
If we divide 238 by 25, we get 9 and a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 289.0
If we subtract 225 from 238, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 5:
If we divide 130 by 25, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 289.5
If we take 125 away from 130, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 289.52
Subtract 50 from 50 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 289.52
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 289.52
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 289.52, and the remainder is 0.0.